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Finding the Fourth Proportional to 254.16, 350.28 and 205.02

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Solution

The fourth proportional to 254.16, 350.28 and 205.02 is: 282.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.16 : 350.28 = 205.02 : x
  2. Step 2: Convert to fraction form
    254.16/350.28 = 205.02/x
  3. Step 3: Cross multiply
    254.16x = 350.28 × 205.02
  4. Step 4: Simplify right side
    254.16x = 71,814.41
  5. Step 5: Solve for x
    x = 71,814.41/254.16
  6. Step 6: Final answer
    x = 282.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.